New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2019 · 11 Jan · Shift 2 · Q26

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 11 Jan · Shift 2 · Q26

Definite Integration question

2019 · 11 Jan · Shift 2 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int\limits_{\pi /6}^{\pi /4} {{{dx} \over {\sin 2x\left( {{{\tan }^5}x + {{\cot }^5}x} \right)}}}

equals :

A
${\pi \over {40}}$
B
${1 \over {20}}{\tan ^{ - 1}}\left( {{1 \over {9\sqrt 3 }}} \right)$
C
${1 \over {10}}\left( {{\pi \over 4} - {{\tan }^{ - 1}}\left( {{1 \over {9\sqrt 3 }}} \right)} \right)$
D
${1 \over 5}\left( {{\pi \over 4}{{-\tan }^{ - 1}}\left( {{1 \over {3\sqrt 3 }}} \right)} \right)$

More from Definite Integration

If $0 \int π /2 \frac{cot x}{cot x + csc x} d x = m (π + n)$ , then $m \cdot n$ is equal to2019 · MCQ
Let f : R $\to$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $\frac{1}{48}$ . If $6 \int f (x) 4 t^{3} d t$ = (x - 2)g(x), then $x \to 2 lim g (x)$ is…2019 · MCQ
A value of $α$ such that $α \int α + 1 \frac{d x}{( x + α ) ( x + α + 1 )} = lo g_{e} (\frac{9}{8})$ is :2019 · MCQ
Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $0 \int a$ f(x) g(x) dx is equal to :2019 · MCQ
The integral $1 \int e {(\frac{x}{e})^{2 x} - (\frac{e}{x})^{x}}$ loge x dx is equal to :2019 · MCQ
The value of the integral $- \frac{π}{2} \int \frac{π}{2} sin^{4} x (1 + lo g (\frac{2 + s i n x}{2 - s i n x})) d x$ is :2018 · MCQ
If $I_{1} = \int_{0}^{1} e^{- x} cos^{2} x d x; I_{2} = \int_{0}^{1} e^{- x^{2}} cos^{2} x d x$ and $I_{3} = \int_{0}^{1} e^{- x^{3}} d x;$ then2018 · MCQ
The value of integral $\int_{\frac{π}{4}}^{\frac{3 π}{4}} \frac{x}{1 + s i n x} d x$ is :2018 · MCQ